Abstract
Let [Formula: see text] be a Hecke–Maass cusp form for [Formula: see text] with Laplace eigenvalue [Formula: see text] and let [Formula: see text] be its [Formula: see text]th normalized Fourier coefficient. It is proved that, uniformly in [Formula: see text], [Formula: see text] where the implied constant depends only on [Formula: see text]. We also consider the summation function of [Formula: see text] and under the Ramanujan conjecture we are able to prove [Formula: see text] with the implied constant depending only on [Formula: see text].
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